Astudy was done to investigate the population of polar bears over time. the correlating linear model is shown below, where x represents the number of years after 1955, and y represents the number of polar bears. interpret the y-intercept.
y = 5,000 + 500x
a. there were 10,000 polar bears in 1955.
b. there were 1,000 polar bears in 1955.
c. there were 5,000 polar bears in 1955.
d. there were 500 polar bears in 1955.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?